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Finding the Fourth Proportional to 2,083.27, 3,124.94 and 696.61

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Solution

The fourth proportional to 2,083.27, 3,124.94 and 696.61 is: 1,044.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083.27 : 3,124.94 = 696.61 : x
  2. Step 2: Convert to fraction form
    2,083.27/3,124.94 = 696.61/x
  3. Step 3: Cross multiply
    2,083.27x = 3,124.94 × 696.61
  4. Step 4: Simplify right side
    2,083.27x = 2,176,874.17
  5. Step 5: Solve for x
    x = 2,176,874.17/2,083.27
  6. Step 6: Final answer
    x = 1,044.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.